Well, if i do count 'throwaways'
It would be in the 200 or 300's category.
I try and get one new song started a day, but with editing and refining, maybe 1 decent idea a week, maybe one REALLY top-notch (by my pathetic standards) song a month.
'Finished' songs is also a tough one - 50 maybe?
In my garage-band punky days, we had reams and reams, but only a few I would consider any good now. Only about 5 I can really remember.
Maybe 10 songs from in between years that I can remember, when I was fairly busy having a fairly non-musical life.
I have 15 or so really good songs from my last band, but I have pretty much retired those songs, as the whole band made them good. Now there's no band, so I feel better abandoning them for the time being.
And right now, about 30? Some are ideas that I haven't quite filled out, many are in various stages on my computer, somewhere.
I don't call them really finished until I have at least a bass/drums/guitars demo that I think at least gives the song a decent sketch.
And NO song is done if it doesn't stand up on it's own either on acoustic guitar, live on one keyboard, or acapella.